Answer:
x = 17
Step-by-step explanation:
∠6 and ∠7 are vertically opposite angles and thus are congruent, hence
4x = 2x + 34 ( subtract 2x from both sides )
2x = 34 ( divide both sides by 2 )
x = 17
Answer:
Following are the responses to the given choices:
Step-by-step explanation:
In step 1:
State the zero and alternate test hypotheses. Insert underneath.
Smaller companies in their region are and they spend at least 24 hours per week on the marketing of the these companies
There really is no growth for smaller firms in their area because the companies spend or less 24 hours per week on marketing.
In step 2:
Each test statistics meaning is calculated. Around two decimal places for your reply.
In step 3:
Draw a start and write the decision.
Since it is observed that 
it is then concluded that the null hypothesis is rejected.
Consequently we consider that small companies in their field may not expand, as they spend or less 24 hours per week on marketing.
Step-by-step explanation:
y = 5x - 4
When x = 0, y = 5(0) - 4 = -4.
When x = 1, y = 5(1) - 4 = 1.
When x = 2, y = 5(2) - 4 = 6.
The 3 ordered pairs we have are (0,-4), (1,1) and (2,6).
We now check the point (-5,-29):
(-29) : 5(-5) - 4
-29 : -25 - 4
-29 : -29 => -29 = -29.
Since Left hand side = Right hand side, the point (-5,-29) is a solution.
Answer:
Option C √32 is correct
Step-by-step explanation:
Here,
x₁ = 8
x₂ = 4
y₁ = (-3)
y₂ = (-7)
Now,
By Using Distance Formula
<em>D = √(x₂ - x₁)² + (y₂ - y₁)²</em>
<em> </em><em> </em><em> </em><em> </em>= √(4 - 8)² + [(-7) - (-3)]²
= √(-4)² + [(-7) + 3]²
= √16 + (-4)²
= √16 + 16
<u>D = √32</u>
Thus, The distance between (8, -3) and (4, -7) is √32
<u>-TheUnknown</u><u>S</u><u>cientist</u>
Answer:
311.41 degrees
Step-by-step explanation:
If 4 sin Ф = -3 and Ф is between 0 and 360 degrees, then we conclude that Ф must be either in Quadrant III or Quadrant IV (because the sine is negative).
Let's assume we're in Quadrant IV. Then sin Ф = opp / hyp = -3/4; that is, the opp side is negative and has length 3, and the hypo is positive 4.
According to the Pythagorean Theorem, (-3)^2 + x^2 = 4^2, or,
x^2 = 16 - 9 = 7.
Then x is either √7 or -√7.
To find the angle Ф, use the inverse sine function:
Ф = arcsin (-3/4). Using a calculator we get the angle -40.59 degrees, which corresponds to (360 degrees - 40.59 degrees), or 311.41 degrees. We can check this by finding the sine of 311.41 degrees; the result is -0.75, which matches "If 4sintheta = -3."
